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Finding the Fourth Proportional to 6,573.80, 9,860.70 and 3,117.80

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Solution

The fourth proportional to 6,573.80, 9,860.70 and 3,117.80 is: 4,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.80 : 9,860.70 = 3,117.80 : x
  2. Step 2: Convert to fraction form
    6,573.80/9,860.70 = 3,117.80/x
  3. Step 3: Cross multiply
    6,573.80x = 9,860.70 × 3,117.80
  4. Step 4: Simplify right side
    6,573.80x = 30,743,690.46
  5. Step 5: Solve for x
    x = 30,743,690.46/6,573.80
  6. Step 6: Final answer
    x = 4,676.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.